Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left({2}^{2} + -3(-1)\right)2\left(2 - -4\right) $$
Correct Answer
$$ 84$$ or 84.0000

2. Simplify 2

Simplify the following expression: $$ {\left(-6 - -5\right)}^{2} + -5(-4) - \frac{-3}{5} $$
Correct Answer
$$ \frac{108}{5}$$ or 21.6000

3. Fractions 1

Simplify the following expression: $$ \frac{2}{3} + \frac{6}{5} $$
Correct Answer
$$ \frac{28}{15}$$ or 1.8666666666666667

4. Fractions 2

Simplify the following expression: $$ \frac{5}{3}\frac{-2}{6} $$
Correct Answer
$$ \frac{-5}{9}$$ or -0.5555555555555556

5. Significant figures

1. Write the following to 5 significant figures: 0.75213874
Correct Answer
0.75214 or $$7.5214\times10^{-1}$$
2. Write the following to 3 significant figures: 0.00037499914
Correct Answer
0.000375 or $$3.75\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 11.6624
Correct Answer
$$1.1662\times10^{1}$$
2. Write the following in standard form to 4 significant digits: 0.000000428998
Correct Answer
$$4.290\times10^{-7}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 1.6444
Correct Answer
$$1.644\times10^{0}$$
2. Write the following in preferred standard form to 2 significant digits: 135.5
Correct Answer
$$140\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{6 + 1}{3 + 1} + {\left(-4 - 3\right)}^{2} $$
Correct Answer
$$ \frac{203}{4}$$ or 50.7500

9. Simplify 1

Simplify the following expression: $$ 2(-3)(-2)\left(-4(-6) + -6\times6\right) $$
Correct Answer
$$ -144$$ or -144.000

10. Simplify 2

Simplify the following expression: $$ {\left(-5 - 1\right)}^{\left(1 - 1\right)}2\left(1 - 6\right) $$
Correct Answer
$$ -10$$ or -10.0000


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